Dirac series of $E_{8(-24)}
This paper classifies the Dirac series of $E_{8(-24)}$, the linear quaternionic real form of complex $E_8$. One tool for us is a further sharpening of the Helgason-Johnson bound in 1969. Our calculation continues to support Vogan's fundamental parallelepiped conjecture.
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| creator | Ding, Yi-Hao Dong, Chao-Ping Du, Chengyu Luan, Yong-Zhi Yang, Liang |
| description | This paper classifies the Dirac series of $E_{8(-24)}$, the linear
quaternionic real form of complex $E_8$. One tool for us is a further
sharpening of the Helgason-Johnson bound in 1969. Our calculation continues to
support Vogan's fundamental parallelepiped conjecture. |
| doi_str_mv | 10.48550/arxiv.2402.00286 |
| format | Article |
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quaternionic real form of complex $E_8$. One tool for us is a further
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| subjects | Mathematics - Representation Theory |
| title | Dirac series of $E_{8(-24)} |
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